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Description
Rings Related to Stable Range ConditionsThis monograph is concerned with exchange rings in various conditions related to stable range. Diagonal reduction of regular matrices and cleanness of square matrices are also discussed. Readers will come across various topics: cancellation of modules, comparability of modules, cleanness, monoid theory, matrix theory, K theory, topology, amongst others. This is a first ever book that contains many of these topics considered under stable range
This monograph is concerned with exchange rings in various conditions related to stable range. Diagonal reduction of regular matrices and cleanness of square matrices are also discussed. Readers will come across various topics: cancellation of modules, comparability of modules, cleanness, monoid theory, matrix theory, K-theory, topology, amongst others. This is a first-ever book that contains many of these topics considered under stable range conditions. It will be of great interest to researchers and graduate students involved in ring and module theories.Shipping Notes
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Product Reviews
★★★★★ 4
Good quality and non toxic
Size: Small (12.00")
Nice that’s it’s natural rope untreated and My dog Gabe loves them. He goes through one every two months!
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Reviewed in the United States on March 30, 2026
★★★★★ 1
Tiny mop
Size: Small (12.00"), Size: Small (12.00")
It only lasted about 30 minutes with my medium size English cream retriever now it looks like a tiny mop, completely shredded a waste of money
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Reviewed in the United States on February 18, 2026
★★★★★ 5
Price is right for a dog that chews other toys up fast`
Size: Small (12.00")
Good inexpensive toy for aggressive chewer.
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Reviewed in the United States on June 9, 2026
★★★★★ 3
DOG TUG OF WAR ROPE
Size: Medium (23.60")
A little too short, but very tuff tough the ends unravel
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Reviewed in the United States on August 9, 2025
★★★★★ 5
Great toy for dogs
Color: Black01
Bought for my pug he keeps trying to chew my TV remote so got him his own remote. Lol saved me from having buy new TV remote
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Reviewed in the United States on June 8, 2026